38 JEE Main 2022 Application of Derivatives previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2022 previous-year questions from the Application of Derivatives chapter of Mathematics. Each links to a full solution with a verified answer key. To see the whole chapter across all years, visit the Application of Derivatives chapter hub.
The function f x = x e x 1 - x , x ∈ R , is
If m and n respectively are the number of local maximum and local minimum points of the function f x = ∫ 0 x 2 t…
If the sum of all the roots of the equation e 2 x - 11 e x - 45 e - x + 81 2 = 0 is log e P , then P is equal to _____.
A water tank has the shape of a right circular cone with axis vertical and vertex downwards. Its semivertical angle is…
Let f x = 2 cos - 1 x + 4 cot - 1 x - 3 x 2 - 2 x + 10 , x ∈ - 1 , 1 . If a , b is the range of the function, the…
If the angle made by the tangent at the point x 0 , y 0 on the curve x = 12 t + sin t cos t , y = 12 1 + sin t 2 , 0 &#…
Let f :   R → R be a function defined by f x = x - 3 n 1 x - 5 n 2 ,   n 1 ,   n 2 ∈ N . The…
If the maximum value of a , for which the function f a x = tan - 1 2 x - 3 a x + 7 is non-decreasing in - π 6 , &#…
The number of distinct real roots of the equation x 7 - 7 x - 2 = 0 is
Let S be the set of all the natural numbers, for which the line x a + y b = 2 is a tangent to the curve x a n + y b n =…
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